Pith Number

pith:LQABXTYA

pith:2017:LQABXTYAPOD36OBDL3U4M7ERLZ

not attested not anchored not stored refs pending

Finding polynomial loop invariants for probabilistic programs

Bican Xia, David N. Jansen, Lijun Zhang, Naijun Zhan, Yijun Feng

arxiv:1707.02690 v1 · 2017-07-10 · cs.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQABXTYAPOD36OBDL3U4M7ERLZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:40:36.142201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c001bcf007b87bf38235ee9c67c915e6ab4c2308ad70a24b7b8f690bbb15444

Aliases

arxiv: 1707.02690 · arxiv_version: 1707.02690v1 · doi: 10.48550/arxiv.1707.02690 · pith_short_12: LQABXTYAPOD3 · pith_short_16: LQABXTYAPOD36OBD · pith_short_8: LQABXTYA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LQABXTYAPOD36OBDL3U4M7ERLZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5c001bcf007b87bf38235ee9c67c915e6ab4c2308ad70a24b7b8f690bbb15444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edec1be2e3f886be72929dbb29804d2baf0059cbcdc655d0a5e006d19123cbfb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2017-07-10T04:02:27Z",
    "title_canon_sha256": "1c32332d388f7ae0e17bb4496e3c60009c1b1a57853a6e5bdb19402db31d3553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02690",
    "kind": "arxiv",
    "version": 1
  }
}